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Byeon H, Latha YL, Hanumagowda BN, Govindan V, Salma A, Abdullaev S, Tawade JV, Awwad FA, Ismail EAA. Magnetohydrodynamics and viscosity variation in couple stress squeeze film lubrication between rough flat and curved circular plates. Sci Rep 2023; 13:22960. [PMID: 38151572 PMCID: PMC10752911 DOI: 10.1038/s41598-023-50326-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/03/2023] [Accepted: 12/18/2023] [Indexed: 12/29/2023] Open
Abstract
A simplified mathematical model has been developed for understanding combined effects of surface roughness, viscosity variation and couple stresses on the squeeze film behaviour of a flat and a curved circular plate in the presence of transverse magnetic field. The Stokes (1966) couple stress fluid model is included to account for the couple stresses arising due to the presence of microstructure additives in the lubricant. In the context of Christensen's (1969) stochastic theory for the lubrication of rough surfaces, two types of one-dimensional roughness patterns (radial and azimuthal) are considered. The governing modified stochastic Reynolds type equations are derived for these roughness patterns. Expressions for the mean squeeze film characteristics are obtained. Numerical computations of the results show that the azimuthal roughness pattern on the curved circular and flat plate results in more pressure buildup whereas performance of the squeeze film suffers due to the radial roughness pattern. Further the Lorentz force characterized by the Hartmann number, couple stress parameter and viscosity variation parameter improve the performance of the squeeze film lubrication as compared to the classical case (Non-magnetic, Newtonian case and non-viscous case).
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Affiliation(s)
- Haewon Byeon
- Department of AI Big Data, Inje University, Gimhae, 50834, South Korea
| | - Y L Latha
- Department of Mathematics, School of Applied Sciences, REVA University, Bangalore, 560064, India
| | - B N Hanumagowda
- Department of Mathematics, School of Applied Sciences, REVA University, Bangalore, 560064, India
| | - Vediyappan Govindan
- Department of Mathematics, Hindustan Institute of Technology and Science, Rajiv Gandhi Salai (OMR), Padur, Kelambakkam, Tamil Nadu, 603103, India.
| | - A Salma
- Department of Mathematics, School of Applied Sciences, REVA University, Bangalore, 560064, India
| | - Sherzod Abdullaev
- Faculty of Chemical Engineering, New Uzbekistan University, Tashkent, Uzbekistan
- Department of Science and Innovation, Tashkent State Pedagogical University Named After Nizami, Bunyodkor Street 27, Tashkent, Uzbekistan
| | - Jagadish V Tawade
- Department of Mathematics, Vishwakarma University, Pune, 411048, India
| | - Fuad A Awwad
- Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, 11587, Riyadh, Saudi Arabia
| | - Emad A A Ismail
- Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, 11587, Riyadh, Saudi Arabia
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